Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 196/992,2644/569
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 196,2644
Greatest Common Factor of Numerators i.e. GCF of 196,2644 is 4 .
LCM of Denominators means LCM of 992,569 as per the given fractions.
LCM of 992,569 is 564448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 196,2644
2 | 196, 2644 |
2 | 98, 1322 |
49, 661 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 2644
List of positive integer factors of 2644 that divides 2644 without a remainder.
1,2,4,661,1322,2644
Greatest Common Factor
We found the factors 196,2644 . The biggest common factor number is the GCF number.
So the greatest common factor 196,2644 is 4.
Lets's calculate LCM of 992,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 564448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/564448
Therefore, the GCF of Fractions 196/992,2644/569 is 4/564448
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 992,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(992,569) x common factors =1 x 1 = 1
LCM(992,569) = ( 992 × 569 ) / 1
LCM(992,569) = 564448 / 1
LCM(992,569) = 564448
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 196/992, 2644/569?
Answer: GCF of Numerators as per given numbers 196/992, 2644/569 is
GCF of Numerators i.e. for 196,2644 is 4
LCM of denominators i.e. for 992,569 is 564448.
Thus, GCF of Fractions is 4/564448.Finally, GCF of Fractions for 196/992, 2644/569 is 4/564448.